移动压力面诱导的固壁冰航道内弯曲重力波传播特性研究
RESEARCH ON THE CHARACTERISTICS OF FLEXURAL GRAVITY WAVES PROPAGATING IN A SOLID ICE CHANNEL INDUCED BY A MOVING PRESSURE SURFACE
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摘要: 在冬季冻结的内河航道以及冰水池模型试验等限制航道场景下, 弯曲重力波和冰相互作用过程中由于冰板与冰池固壁面之间的边界条件, 池壁效应的影响通常较大, 不可忽视. 基于此, 本文针对移动压力面在固壁冰航道匀速运动引起的冰板稳态响应问题, 建立了数学模型并采用分离变量法、正交模态法和傅里叶变换推导了该模型的解析解, 得到了冰板变形响应的积分表达式, 通过数值计算对该问题进行了数值求解. 在验证了积分表达式的收敛性的基础上, 基于弯曲重力波在固壁冰航道内传播的临界速度, 分析了移动压力面在不同速度区间下运动引起的弯曲重力波特点, 研究了压力面相对航道壁面位置对弯曲重力波的影响, 讨论了航道水深和冰厚参数对移动压力面破冰能力的影响, 总结了压力面运动速度、压力面与航道壁面的位置关系、冰厚及水深变化对冰板变形和应变的影响规律, 以期为开展冰水池模型试验和内河破冰提供一些参考.Abstract: Due to the boundary conditions between the ice plate and the solid wall of the ice pond, the influence of the pool wall effect is usually large and cannot be ignored in restricted channel scenarios such as the frozen inland waterway in winter and the model test of the ice pond. Based on this, a mathematical model is established for the steady-state response of the ice plate caused by the constant motion of the moving pressure surface in the solid wall ice channel, and the analytical solution of the model is derived by the separation variable method, orthogonal mode method and Fourier transform. The integral expression of the deformation response of the ice plate is obtained, and the problem is numerically solved by numerical calculation. Based on verifying the convergence of the integral expression, based on the critical speed of flexural-gravity wave propagation in the solid wall ice channel, the flexural-gravity wave points caused by the pressure surface moving in different velocity intervals are analyzed, the influence of the moving pressure surface relative to the position of the channel wall on the flexural-gravity wave is studied, and the influence of channel depth and ice thickness parameters on the ice-breaking ability of the moving load is discussed. A summary of the influence patterns of the speed of moving pressure surface, the positional relationship between the pressure surface and the channel wall, ice thickness, and water depth changes on ice plate deformation and strain, aiming to provide some references for conducting ice-water tank model tests and inland river icebreaking.